The transcendental lattice of the sextic Fermat surface
Algebraic Geometry
2017-09-18 v2
Abstract
We prove that the integral polarized Hodge structure on the transcendental lattice of a sextic Fermat surface is decomposable. This disproves a conjecture of Kulikov related to a Hodge theoretic approach to proving the irrationality of the very general cubic fourfold.
Keywords
Cite
@article{arxiv.1306.6798,
title = {The transcendental lattice of the sextic Fermat surface},
author = {Asher Auel and Christian Böhning and Hans-Christian Graf v. Bothmer},
journal= {arXiv preprint arXiv:1306.6798},
year = {2017}
}
Comments
15 pages; v2: minor changes, streamlined the argument in Section 4